In ten years a child will be 3 years older than twice her current age. What is the current age of the child

child now --- x

in 10 years --- x+10

x+10 = 3x
2x = 10
x=5

child is now 5

To determine the current age of the child, let's break down the information given:

1. In ten years: We need to consider the child's age ten years from now. Let's call this value "x."

2. A child will be 3 years older than twice her current age: This means that in ten years (x), the child's age will be 3 years more than twice her current age.

Now, we can use algebra to solve for the current age of the child.

Let "y" represent the child's current age.

Based on the given information, we can write the equation:

x = 2y + 3

Since we need to find the current age, we can also express "x" in terms of "y" by using the information that in ten years (x), the child will be 3 years older than twice her current age:

x = y + 10

Now we can set the two equations equal to each other and solve for "y":

2y + 3 = y + 10

By solving this equation, we find:

y = 7

Therefore, the current age of the child is 7 years.